• Title/Summary/Keyword: limiting

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ANALYSIS OF THE BEHAVIOR OF LIMITING SPECTRAL DENSITY FUNCTION OF LARGE DIMENSIONAL RANDOM MATRICES

  • Choi, Sang-Il
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.483-488
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    • 2004
  • Results on the analytic behavior of the limiting spectral distribution of large dimensional random matrices, studied in Marcenko and Pastur [2], are derived. Using the Stieltjes transform, it is shown that the limiting distribution has a continuous derivative away from zero, the derivative being analytic whenever it is positive [3]. In the present paper, it is derived that the behavior of it resembles the behavior of a square root function near the boundary of its support.

A Simple Chi-Squared Test of Spherical Symmetry

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.227-236
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    • 2005
  • A chi-squared test of spherical symmetry is suggested. This test is easy to apply in practice since it is easy to compute and has a limiting chi-squared distribution under spherical symmetry. The result of Park(1998) can be used to show that it has the limiting chi-squared distribution. A simulation study is conducted to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study that compares the power of our test with those of other tests of spherical symmetry is performed.

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A Note on the Simple Chi-Squared Test of Multivariate Normality

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.423-430
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    • 2004
  • We provide the exact form of a Rao-Robson version of the chi-squared test of multivariate normality suggested by Park(2001). This test is easy to apply in practice since it is easily computed and has a limiting chi-squared distribution under multivariate normality. A self-contained formal argument is provided that it has the limiting chi-squared distribution. A simulation study is provided to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study in a nonnormal distribution is conducted in order to compare the power of our test with those of other popular normality tests.

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ON THE MARTINGALE EXTENSION OF LIMITING DIFFUSION IN POPULATION GENETICS

  • Choi, Won
    • Korean Journal of Mathematics
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    • v.22 no.1
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    • pp.29-36
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    • 2014
  • The limiting diffusion of special diploid model can be defined as a discrete generator for the rescaled Markov chain. Choi([2]) defined the operator of projection $S_t$ on limiting diffusion and new measure $dQ=S_tdP$. and showed the martingale property on this operator and measure. Let $P_{\rho}$ be the unique solution of the martingale problem for $\mathcal{L}_0$ starting at ${\rho}$ and ${\pi}_1,{\pi}_2,{\cdots},{\pi}_n$ the projection of $E^n$ on $x_1,x_2,{\cdots},x_n$. In this note we define $$dQ_{\rho}=S_tdP_{\rho}$$ and show that $Q_{\rho}$ solves the martingale problem for $\mathcal{L}_{\pi}$ starting at ${\rho}$.

Current Limiting Characterics of YBCO Coated Conductor for SFCL According to Insulation (절연층에 따른 전류제한기용 YBCO박막형 선재의 전류제한 특성)

  • Lee, Dong-Hyeok;Du, Ho-Ik;Kim, Min-Ju;Kim, Yong-Jin;Han, Byoung-Sung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2009.11a
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    • pp.211-211
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    • 2009
  • YBCO coated conductor can change the stabilization layer for purpose and it leads advantages in Improvement of tape's critical properties and Application. Such properties rise possibility of using YBCO coated conductor for Superconductor Fault Current Limiter, therefore, we investigate changing properties under over current condition and limiting characteristics. In this study, YBCO coated conductor's current limiting characteristic stainless steel stabilization layer under condition of changing conductor's insulating layer. Consequently, the resistance followed insulating layer so we know that limiting characteristics.

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Analysis on magnetizing characteristics of current limiting reactor using HTSC module

  • Han, Tae Hee;Lim, Sung Hun
    • Progress in Superconductivity and Cryogenics
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    • v.20 no.1
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    • pp.15-18
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    • 2018
  • In this paper, the magnetizing characteristics of the current limiting reactor (CLR) using $high-T_C$ superconducting (HTSC) module were analyzed. Since the saturation of iron core comprising the CLR using HTSC module deteriorates its current limiting operation, the design of the CLR using HTSC module considering the magnetizing characteristics is needed. For the analysis on the magnetizing characteristics, the flux linkage and the magnetizing current of this CLR using HTSC module were derived from its electrical equivalent circuit. Through the analysis on the linkage flux versus the magnetizing current, obtained from the short-circuit tests, the suppressing effect of the iron core's saturation was discussed.

A Study of Nitrogen Metabolism in Lemnaceae -Limiting Factors of Distribution of Spirodela Polyrhiza and Lemna aequinoctialis- (개구리밥과 식물의 질소대사에 관한 연구)

  • Chang, Nam-Kee;Oh, In-Hye;Kim, Heui-Baik;Yoo, Hae-Mee;Eo, Eun-Joo
    • The Korean Journal of Ecology
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    • v.13 no.3
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    • pp.215-224
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    • 1990
  • The distribution of Spirodela polyrhiza and Lemna aequinoctialis was investigated and the limiting factors on the distribution were analyzed. At 66 sites in Korea, the presense or absense of duckweed were recorded and the water was sampled. The temperature, hardness, pH and contents of N, , , Na, K, Ca, Cu, Mg, Zn, Fe, Ni, Mn and Cd of water sampled were analyzed. The results were as follows; It seemed that the limiting factors influencing on the distribution was water temperature and concentration of . The critical temperature of the distribution of Spirodela and Lemna was presented 19.5$^{\circ}C$ and concentration of was limiting factor only in the distribution of S. polyrhiza. L. aequinoctialis was distributed in lower temperature than S. polyrhiza and it seemed that the distribution of L. aequinoctialis was not be influenced by the concentration of .

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NUMERICAL SOLUTION FOR ROBOT ARM PROBLEM USING LIMITING FORMULAS OF RK(7,8)

  • Senthilkumar, S.
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.793-809
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    • 2008
  • The aim of this article is focused on providing numerical solutions for system of second order robot arm problem using the RK-eight stage seventh order limiting formulas. The parameters governing the arm model of a robot control problem have also been discussed through RK-eight stage seventh order limiting algorithm. The precised solution of the system of equations representing the arm model of a robot has been compared with the corresponding approximate solutions at different time intervals. Results and comparison show the efficiency of the numerical integration algorithm based on the absolute error between the exact and approximate solutions. Based on the numerical results a thorough comparison is carried out between the numerical algorithms.

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Press Formabilities of Aluminum Sheets for Autobody Application (차체용 알루미늄 판재의 프레스 성형성)

  • Kim, Y.S.;Kim, K.S.;Kwon, N.C.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.1
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    • pp.73-83
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    • 1994
  • Press formabilities of aluminum sheets for automobile body were investigated. Plane strain stretching test (called RIST-PSST), cupping test and U bending test were performed to assess the press formability of aluminum sheets respectively. The results showed that aluminum sheets are generally inferior to cold-rolled steel sheet of deep drawing quality (CSP3N) in press formability. The limiting punch height (LPH) and limiting plane strain (FLCo) of aluminum sheets are 50%-70% level compared to that of CSP3N. Moreover, the limiting drawing ratios(LDR) of aluminum sheets are ranged between 1.95 and 2.1. The poor press formability of aluminum sheets is responsible for low values of total elongation and plastic anisotropy parameter in tensile characteristic. The shape fixability of aluminum sheets evaluated in U bending test is very poor due to its low elastic modulus compared to CSP3N.

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Fault Current limiting Characteristics of Flux-Lock type Superconducting Fault Current Limiter with Open-loop Iron Core according to the Voltage Level (개루프 철심을 이용한 자속구속형 초전도한류기의 전압별 전류제한 특성분석)

  • Nam, Gueng-Hyun;Choi, Hyo-Sang;Park, Hyoung-Min;Cho, Yong-Sun;Lee, Na-Young;Lim, Sung-Hun
    • Proceedings of the KIEE Conference
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    • 2005.11b
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    • pp.368-370
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    • 2005
  • Superconducting fault current limiter (SFCL) provides the effect such as enhancement in power system reliability due to limiting fault current in a few miliseconds. The flux-lock type SFCL among various type SFCLs consists of two coils wound on the same iron core and a component using the YBCO thin film. In the SFCL, operation characteristics can be controlled by adjusting the inductances and the winding directions of the coils. In this paper, we investigated the various fault current limiting characteristics according to the voltage level. To analyze the current limiting performance, we compared operational characteristics on the subtractive polarity winding direction on in case of open-loop iron core.

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